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Finding the Fourth Proportional to 27,830.70, 38,405.10 and 15,255.18

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Solution

The fourth proportional to 27,830.70, 38,405.10 and 15,255.18 is: 21,051.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830.70 : 38,405.10 = 15,255.18 : x
  2. Step 2: Convert to fraction form
    27,830.70/38,405.10 = 15,255.18/x
  3. Step 3: Cross multiply
    27,830.70x = 38,405.10 × 15,255.18
  4. Step 4: Simplify right side
    27,830.70x = 585,876,713.42
  5. Step 5: Solve for x
    x = 585,876,713.42/27,830.70
  6. Step 6: Final answer
    x = 21,051.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.